76870144 has 40 divisors (see below), whose sum is σ = 165419100. Its totient is φ = 35475456.

The previous prime is 76870139. The next prime is 76870153. The reversal of 76870144 is 44107867.

It can be written as a sum of positive squares in 2 ways, for example, as 76038400 + 831744 = 8720^2 + 912^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 882 + ... + 12430.

Almost surely, 2^76870144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76870144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82709550).

76870144 is an abundant number, since it is smaller than the sum of its proper divisors (88548956).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

76870144 is a wasteful number, since it uses less digits than its factorization.

76870144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11580 (or 11564 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 37.

The square root of 76870144 is about 8767.5620328573. The cubic root of 76870144 is about 425.1927964945.

The spelling of 76870144 in words is "seventy-six million, eight hundred seventy thousand, one hundred forty-four".